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DTSTAMP:20120319T215940Z
DTSTART;TZID=America/Los_Angeles:20120406T154000
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TRANSP:OPAQUE
SUMMARY:Neron component groups of wildly ramified abelian varieties
UID:54076-ucb-events-calendar@berkeley.edu
ORGANIZER;CN="UC Berkeley Calendar Network":
LOCATION:740 Evans Hall
DESCRIPTION:Johannes Nicaise\, Katholieke Universiteit Leuven\n\nI will present some results on the behaviour of Neron component groups of abelian varieties under ramified base change\, with special emphasis on wildly ramified abelian varieties. The main idea is that Neron models behave well under base change if the extension is "sufficiently orthogonal" to the minimal extension where the abelian variety acquires semi-abelian reduction\, but it is a considerable challenge to define this orthogonality property in a suitable way. I will explain what it means for Jacobians and abelian varieties with potential multiplicative reduction. The hardest case is the case of potential good reduction\; I will discuss some open problems and possible approaches in that setting. This is a joint project with Lars Halvard Halle (Oslo).
URL:http://events.berkeley.edu/index.php/calendar/sn/pubaff.html?event_ID=54076&view=preview
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